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90度动画

90度动画
几何画板及绘图内容加载中，请稍等……
2016-07-06 21:25
变换几何作图滑块动画
该范例演示了90度旋转动画，涉及旋转、角度和几何作图等核心数学概念。通过使用GeoGebra命令如旋转、角度、点等，展示了旋转变换的动态过程。适合初中及以上学生学习几何变换和动态几何。

GeoGebra 命令及参数

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Line(A, B) → i
  5. Line(B, C) → j
  6. Line(C, A) → k
  7. Polygon(A, B, C) → poly1, c, a, b
  8. OrthogonalLine(C, i) → l
  9. OrthogonalLine(A, j) → m
  10. OrthogonalLine(B, k) → n
  11. Intersect(l, m) → D
  12. Midpoint(C, B) → F
  13. Midpoint(A, B) → G
  14. Midpoint(A, C) → H
  15. Segment(A, F) → p
  16. Segment(C, G) → q
  17. Segment(B, H) → r
  18. Intersect(q, r) → I
  19. OrthogonalLine(G, f) → s
  20. OrthogonalLine(F, j) → t
  21. OrthogonalLine(H, h) → d
  22. Intersect(d, s) → J
  23. Intersect(i, l) → E
  24. Intersect(j, m) → K
  25. Angle(C, K, A) → α
  26. Point(i) → L
  27. Angle(C, E, L) → β
  28. Intersect(k, n) → M
  29. Angle(B, M, A) → γ
  30. Angle(J, G, A) → δ
  31. Point(t) → N
  32. Angle(C, F, N) → ε
  33. Angle(J, H, C) → ζ
  34. Dilate(J, If[0 < v ≤ 1, 1 - v, 0], I) → J'
  35. Midpoint(I, D) → O
  36. Segment(J, J') → f_1
  37. Dilate(I, If[1 < v ≤ 2, 2 - v, 0], O) → I'
  38. Segment(I, I') → g_1
  39. Dilate(O, If[2 < v ≤ 3, 3 - v, 0], D) → O'
  40. Segment(O, O') → h_1
  41. Rotate(J, If[3 < v ≤ 4, ((-(v - 3)) * π), (-π)], I) → J'_1
  42. Rotate(J', If[3 < v ≤ 4, ((-(v - 3)) * π), (-π)], I) → J''
  43. Segment(J'_1, J'') → i_1
  44. Rotate(J'_1, If[4 < v ≤ 5, ((-(v - 4)) * π), (-π)], O) → P
  45. Rotate(J'', If[4 < v ≤ 5, ((-(v - 4)) * π), (-π)], O) → J'''
  46. Segment(P, J''') → j_1